MATHEMATICAL MODELS OF THE THERMAL PROTECTION COATING OF THE GAS GENERATOR OF THE HYDROGEN STORAGE AND SUPPLY SYSTEM
DOI:
https://doi.org/10.33042/2522-1809-2024-4-185-159-165Keywords:
gas generator, hydrogen storage and supply system, thermal protection coatingAbstract
The article describes the properties of the thermal protection coating of the gas generator of the hydrogen storage and supply system by two transfer functions with Hurwitz polynomials of the third order. Obtaining such transfer functions is based on the solution of the non-stationary heat conduction equation, represented in operator form using the integral Laplace transform, and in which approximating spline functions in the form of second-order polynomials are used. The article gives the solution of the non-stationary thermal conductivity equation, which describes the thermal processes in the heat-protective coating of the gas generator of the hydrogen storage and supply system under the thermal effect of a fire. This solution comes in the operator form for the surface temperature of the heat-protective coating on the side of the gas generator wall. The peculiarity of this decision is the presence of hyperbolic functions of an irrational argument in its composition. The structural and dynamic scheme of the thermodynamic system ‘gas generator wall – heat-protective coating’ is presented, the feature of which is the presence of two entrances. The signal at the scheme’s first input reflects the thermal effect of the fire, and the signal at the second input reflects the thermal state of the gas generator cavity. An equivalent mathematical transition to the description of thermal processes in the heat-protective coating of the gas generator of the hydrogen storage and supply system was carried out. This transition happened due to the use of spline functions, which approximate the hyperbolic functions of the irrational argument and are polynomials of the second order. The article gives a verbal interpretation of the algorithm for determining the transfer functions of the heat-protective coating of the gas generator of the hydrogen storage and supply system and also an example of its implementation. Furthermore, it shows that for the given conditions of functioning of the gas generator heat-protective coating, the relative errors in approximation of hyperbolic functions by second-order polynomials do not exceed 1.7 %, and the average relative error when equivalent replacement of transfer functions does not exceed 3.8 %.
References
Fragiacomo, P., & Genovese, M. (2020) Numerical simulations of the energy performance of a PEM water electrolysis based high-pressure hydrogen refueling station. International Journal of Hydrogen Energy. Vol. 45. Issue 51. P. 27457-27470. DOI: 10.1016/j.ijhydene.2020.07.007.
Rusman A.A., & Dahari M. (2016). A review on the current progress of metal hydrides material for solid-state hydrogen storage applications. International Journal of Hydrogen Energy. Vol. 41. Issue 28. P. 12108-12126. DOI: 10.1016/j.ijhydene.2016.05.244.
Dmitriev A.L. Hydrogen fueling station using hydrogen generation by aluminum powder hydrothermal oxidation / A.L. Dmitriev, V.K. Ikonnikov / Alternative Energy and Ecology (ISJAEE). 2017. №10. P. 75-85. DOI 10.15518/isjaee.2017.10-12.075-085.
Abohamzeh E., Salehi F., Sheikholeslami M., Abbassi R., Khan F. Review of hydrogen safety during storage, transmission, and applications processes // Journal of Loss Prevention in the Process Industries. 2021. Vol. 72. P. 104569. Doi: https://doi.org/10.1016/j.jlp.2021.104569
Yang F., Wang T., Deng X., Dang J., Huang Z., Hu S., Li Y., Ouyang M. Review on hydrogen safety issues: Incident statistics, hydrogen diffusion, and detonation process // International Journal of Hydrogen Energy. 2021. Vol. 46 (61). P. 31467-31488. Doi: https://doi.org/10.1016/j.ijhydene.2021.07.005
Jeon J., Kim S. J. Recent Progress in Hydrogen Flammability Prediction for the Safe Energy Systems // Energies. 2020. Vol. 13 (23). P. 6263. Doi: https://doi.org/10.3390/en13236263
Yu X., Kong D., He X., Ping P. Risk Analysis of Fire and Explosion of Hydrogen-Gasoline Hybrid Refueling Station Based on Accident Risk Assessment Method for Industrial System // Fire. 2023. Vol. 6 (5). P. 181. Doi: https://doi.org/10.3390/fire6050181
Ma Q., He Y., You J., Chen J., Zhang Z. Probabilistic risk assessment of fire and explosion of onboard high-pressure hydrogen system // International Journal of Hydrogen Energy. 2024. Vol. 50. P. 1261-1273. Doi: https://doi.org/10.1016/j.ijhydene.2023.10.157
Cui S., Zhu G., He L., Wang X., Zhang X. Analysis of the fire hazard and leakage explosion simulation of hydrogen fuel cell vehicles // Thermal Science and Engineering Progress. 2023. Vol. 41. P. 101754. Doi: https://doi.org/10.1016/j.tsep.2023.101754
Kashkarov S., Dadashzadeh M., Sivaraman S., Molkov V. Quantitative Risk Assessment Methodology for Hydrogen Tank Rupture in a Tunnel Fire // Hydrogen. 2022. Vol. 3 (4). P. 512-530. Doi: https://doi.org/10.3390/hydrogen3040033
Cui S., Zhu G., He L., Wang X., Zhang X. Analysis of the fire hazard and leakage explosion simulation of hydrogen fuel cell vehicles // Thermal Science and Engineering Progress. 2023. Vol. 41. P. 101754. Doi: https://doi.org/10.1016/j.tsep.2023.101754
Li B., Han B., Li Q., Gao W., Guo C., Lv H., Liu Y., Jin X., Bi M. Study on hazards from high-pressure on-board type III hydrogen tank in fire scenario: Consequences and response behaviours // International Journal of Hydrogen Energy. 2022. Vol. 47 (4). P. 2759-2770. Doi: https://doi.org/10.1016/j.ijhydene.2021.10.205
Kryvtsova V.I., Klyuchka Yu.P. Fire and explosion safety of hydrogen storage systems on motor vehicles. - Kharkiv. 2013. 236 p.
Sharshanov A.Ya., Abramov Yu.O. Protection of sub-stances and materials from the thermal effects of fire using screens and coatings. Kharkiv. 2023. 280 p
Artyushin L.M., Durnyak B.V., Mashkov O.A., Plashchenko D.M. Theoretical foundations of technical cybernetics. Lviv. 2004. 130 p.
Dorf R., Bishop R. Contemporary management systems. M. 2002. 830 p.
Korn G., Korn T. Handbook of mathematics. M. 1968. 720 p.
Downloads
Published
How to Cite
Issue
Section
License
The authors who publish in this collection agree with the following terms:
• The authors reserve the right to authorship of their work and give the magazine the right to first publish this work under the terms of license CC BY-NC-ND 4.0 (with the Designation of Authorship - Non-Commercial - Without Derivatives 4.0 International), which allows others to freely distribute the published work with a mandatory reference to the authors of the original work and the first publication of the work in this magazine.
• Authors have the right to make independent extra-exclusive work agreements in the form in which they were published by this magazine (for example, posting work in an electronic repository of an institution or publishing as part of a monograph), provided that the link to the first publication of the work in this journal is maintained. .
• Journal policy allows and encourages the publication of manuscripts on the Internet (for example, in institutions' repositories or on personal websites), both before the publication of this manuscript and during its editorial work, as it contributes to the emergence of productive scientific discussion and positively affects the efficiency and dynamics of the citation of the published work (see The Effect of Open Access).
